Follow the following steps of constructions- -a- Draw a line l and mention a point O on it- -b- With O as center and a short radius- draw an arc that cuts line l nbsp- nbsp-at A- -c- With A nbsp-as center and the same radius -as in step 2- draw an arc that cuts the first arc at B- -d- Join O and B- Extend OB nbsp-to get a ray- What is nbsp-the measure of -AOB nbsp-in degrees- 45-60-75-90-

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Byju's Answer

Standard VI

Mathematics

Constructing Angles of Special Measures

Follow the fo...

Question

Follow the following steps of constructions:
(a) Draw a line l and mention a point O on it.
(b) With O as center and a short radius, draw an arc that cuts line l at A.
(c) With A as center and the same radius (as in step 2), draw an arc that cuts the first arc at B.
(d) Join O and B. Extend OB to get a ray.
What is the measure of ∠AOB (in degrees)?

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Solution

The correct option is B
60

Upon following the above steps, we obtain an angle of 60 $^{\circ}$
Hence, $∠ A O B = 60^{\circ}$

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Similar questions

Follow the following steps of constructions:
(a) Draw a line l and mention a point O on it.
(b) With O as center and a short radius, draw an arc that cuts line l at A.
(c) With A as center and the same radius (as in step 2), draw an arc that cuts the first arc at B.
(d) Join O and B. Extend OB to get a ray.
What is the measure of ∠AOB (in degrees)?

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of $∠ A O E$ ?

Q. The steps involved in constructing

∠ A B C = 60^{\circ}

is given below. Which of the following is the correct sequence of the steps?

Q. Steps for the construction of

∠ A O B = 120^{\circ}

is given below. Choose the correct order.
1.With Q as the centre and with same radius as in step- 3, draw an arc so as to cut the arc drawn in step - 2. Name the point of intersection as R.
2.With P as the centre, draw an arc with the same radius as in step-2 intersecting the previous arc. Name the point of intersection as R.
3.Draw a ray OB
4.Join points O and R using a scale and a pencil. Extend it to get ray OA
5.With O as the centre, draw an arc with suitable radius that cuts OB. Name the point of intersection as P

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The correct option is B 60 Upon following the above steps, we obtain an angle of 60∘ Hence, ∠AOB=60∘

The correct option is B
60

Upon following the above steps, we obtain an angle of 60 $^{\circ}$
Hence, $∠ A O B = 60^{\circ}$